More general EELS, accurate for a wider range of \(k\)  values and angles of incidence will require first principles calculations for the entire structure, and incorporate higher level quasiparticle interactions (including the effect of excitons). Using guidance from the results of this study, future work consisting of 1-3 layers of graphene on silver, with the hBN substrate are the subject of future work. The band-gap for hBN is underestimated by about 33% in the LDA [1]} — the effect of hBN on surface confinement of plasmons may be even more dramatic than is demonstrated in this work. A quasiparticle GW correction to the LDA calculation will be employed, as it has been demonstrated to bring the hBN bandgap into close agreement with experimental results. [2]}
